Automatic continuity of operators commuting with translations

被引：1

作者：

Alaminos, J. ^{[1
]}

Extremera, J. ^{[1
]}

Villena, A. R. ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Anal Matemat, E-18071 Granada, Spain

来源：

STUDIA MATHEMATICA | 2006年 / 173卷 / 03期

关键词：

automatic continuity; operators commuting with translations; translation-invariant functionals; uniqueness of norm; maximally almost periodic groups; amenable groups;

D O I：

10.4064/sm173-3-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let tau(X) and tau(Y) be representations of a topological group G on Banach spaces X and Y, respectively. We investigate the continuity of the linear operators Phi: X -> Y with the property that Phi o tau(X)(t) = tau(Y)(t) o Phi for each t is an element of G in terms of the invariant vectors in Y and the automatic continuity of the invariant linear functionals on X.

引用

页码：259 / 293

页数：35

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